Question

1/x + 1/a=1/b,then x=

Answer 1

`(1)/(x)+(1)/(a)=(1)/(b)\ \ \ |subtract\ (1)/(a)\ from\ both\ sides\\\\(1)/(x)=(1)/(b)-(1)/(a)\\\\(1)/(x)=(a)/(ab)-(b)/(ab)\\\\(1)/(x)=(a-b)/(ab)\Rightarrow(x)/(1)=(ab)/(a-b)\to\boxed{x=(ab)/(a-b)}`